GCD of 825, 377, 264, 325 Calculator

Given Input numbers are 825, 377, 264, 325

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 825, 377, 264, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 377, 264, 325 is 1.

Therefore, GCD of numbers 825, 377, 264, 325 is 1

Given Input Data is 825, 377, 264, 325

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 377 is 13 x 29

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 325 is 5 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(825, 377) = 311025

GCD(825, 377) = ( 825 x 377 ) / 311025

GCD(825, 377) = 311025 / 311025

GCD(825, 377) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 825, 377, 264, 325 is 1

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1. What is the GCD of 825, 377, 264, 325?

GCD of 825, 377, 264, 325 is 1

2. Where do I get the detailed procedure to find GCD of 825, 377, 264, 325?

You can find a detailed procedure to find GCD of 825, 377, 264, 325 on our page.

3. How to find GCD of 825, 377, 264, 325 on a calculator?

You can find the GCD of 825, 377, 264, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.